729634880 has 56 divisors (see below), whose sum is σ = 1871103192. Its totient is φ = 269402112.

The previous prime is 729634861. The next prime is 729634889. The reversal of 729634880 is 88436927.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 725979136 = 1912^2 + 26944^2 .

It is a super-2 number, since 2×729634880² = 1064734116225228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729634889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83537 + ... + 91856.

It is an arithmetic number, because the mean of its divisors is an integer number (33412557).

Almost surely, 2^729634880 is an apocalyptic number.

It is an amenable number.

729634880 is an abundant number, since it is smaller than the sum of its proper divisors (1141468312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729634880 is a wasteful number, since it uses less digits than its factorization.

729634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175423 (or 175413 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 729634880 is about 27011.7544783748. The cubic root of 729634880 is about 900.2611916812.

The spelling of 729634880 in words is "seven hundred twenty-nine million, six hundred thirty-four thousand, eight hundred eighty".